Mechanical laws of the Rindler horizon

Eugenio Bianchi, Alejandro Satz

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Gravitational perturbations of flat Minkowski space make the Rindler horizon dynamical: the horizon satisfies mechanical laws analogous to the ones followed by black holes. We describe the gravitational perturbation of Minkowski space using perturbative field-theoretical methods. The change in the area of the Rindler horizon is described in terms of the deflection of light rays by the gravitational field. The difference between the area of the perturbed and the unperturbed horizon is related to the energy of matter crossing the horizon. We derive consistency conditions for the validity of our approximations and compare our results to similar ones present in the literature. Finally, we discuss how this setting can be used in perturbative quantum gravity to extend the classical mechanical laws to thermodynamic laws, with the entanglement of field modes across the Rindler horizon providing a notion of thermodynamic entropy.

Original languageEnglish (US)
Article number124031
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume87
Issue number12
DOIs
StatePublished - Jun 24 2013

Fingerprint

horizon
Minkowski space
perturbation
thermodynamics
gravitational fields
deflection
rays
entropy
gravitation
approximation
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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Mechanical laws of the Rindler horizon. / Bianchi, Eugenio; Satz, Alejandro.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 87, No. 12, 124031, 24.06.2013.

Research output: Contribution to journalArticle

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